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Finding the Fourth Proportional to 505.39, 697.81 and 365.82

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Solution

The fourth proportional to 505.39, 697.81 and 365.82 is: 505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.39 : 697.81 = 365.82 : x
  2. Step 2: Convert to fraction form
    505.39/697.81 = 365.82/x
  3. Step 3: Cross multiply
    505.39x = 697.81 × 365.82
  4. Step 4: Simplify right side
    505.39x = 255,272.85
  5. Step 5: Solve for x
    x = 255,272.85/505.39
  6. Step 6: Final answer
    x = 505.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.